1020333200010 has 256 divisors, whose sum is σ = 2599254282240. Its totient is φ = 256032000000.

The previous prime is 1020333199961. The next prime is 1020333200023. The reversal of 1020333200010 is 100023330201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2004583636 + ... + 2004584144.

It is an arithmetic number, because the mean of its divisors is an integer number (10153337040).

Almost surely, 2^{1020333200010} is an apocalyptic number.

1020333200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020333200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299627141120).

1020333200010 is an abundant number, since it is smaller than the sum of its proper divisors (1578921082230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020333200010 is a wasteful number, since it uses less digits than its factorization.

1020333200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1020333200010 its reverse (100023330201), we get a palindrome (1120356530211).

The spelling of 1020333200010 in words is "one trillion, twenty billion, three hundred thirty-three million, two hundred thousand, ten".